AdvAlg2Ch7

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Chapter 7 – Radical Functions and Rational Exponents
Introduction
  • In Chapter 7, you will extend your knowledge of roots to include cube roots, fourth roots, fifth roots, and so on.
  • You will learn to add, subtract, multiply, and divide radical expressions, including binomial radical expressions.
  • You will solve radical equations, and graph translations of radical functions and their inverses.
Vocabulary
  • Composite Function
  • Index
  • Inverse Functions
  • Like Radicals
  • nth Root
  • Principal Root
  • Radical Equation
  • Radical Function
  • Radicand
  • Rational Exponent
  • Rationalize the Denominator
Section 1 – Roots and Radical Expressions
  • Be able to simplify nth roots of any numbers or variable expressions
  • Know when there are no real roots
Section 2 – Multiplying and Dividing Radical Expressions
  • Be able to multiply radicals
  • Be able to simplify radical expressions that are not perfect roots
  • Be able to simplify radical expressions once they are multiplied
  • Be able to divide radicals
  • Know when to rationalize the denominator and how to do it
Section 3 – Binomial Radical Expressions
  • Be able to add and subtract like radicals
  • Be able to distribute a radical through a binomial expression
  • Be able to foil two binomial radical expressions
  • Be able to rationalize the denominator when it is a binomial radical expression
Section 1-3 Practice